Year: 2025
Type: preprint
Abstract: We investigate periodic Schrödinger operators in arbitrary dimensions in the large coupling regime. Our results establish that both the Lieb--Robinson velocity and the asymptotic velocity decay at an inverse polynomial rate in the coupling, with the precise exponent determined by the period of the underlying potential. In particular, we obtain sharp polynomial decay rates that capture the precise dependence on the periodic structure.
Source: arXiv (Cornell University)
Authors: Abdul-Rahman, Houssam, Fillman, Jake, Fischbacher, Christoph, Liu, Wencai
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7080138230
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